Tensor Renormalization of Quantum Many-Body Systems Using Projected Entangled Simplex States

Abstract

Tensor networks are used to represent the wave functions of quantum many-body systems, but the standard approaches only consider two-body entanglement and do not work well for ``frustrated'' systems, where the underlying lattice geometry makes three- or many-body entanglement also important. A new tensor-network approach based on a novel tensor concept for describing such ``simplex'' entanglement shows great promise.